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Finding the Third Proportional to 12,720 and 18,711.50

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Solution

The third proportional to 12,720 and 18,711.50 is: 27,525.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720 : 18,711.50 = 18,711.50 : x
  2. Step 2: Convert to fraction form
    12,720/18,711.50 = 18,711.50/x
  3. Step 3: Cross multiply
    12,720x = 18,711.50 × 18,711.50
  4. Step 4: Simplify right side
    12,720x = 350,120,232.25
  5. Step 5: Solve for x
    x = 350,120,232.25/12,720
  6. Step 6: Final answer
    x = 27,525.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.